Airbournedaddy,
It probably worth having a rummage around inside it just to check for parasitic worms etc if you're going to give it to mutley raw, other than that I'd say cook it off before letting the dog near it. There was a thread a few weeks ago describing the water filled sacks inside the rabbits that are one stage in the life cycle of the worms.
Agree with the deheading assuming it was killed with a head shot, you don't want mut getting lead poisoning!
ATB
Ogri the trog
Improvise, Adapt & Overcome